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How do you find the height of the sphere when you know the height of the cube?
if the cube is inside the sphere you needto do some trigonometry and algebra to find out the height or diameter of the sphere. I have never heard someone ask what the height of the sphere is... i didn't think it existed. im pretty sure you need to know the diameter of the sphere. since you didnt give me any numbers to work with this is going to be a confusing explanation. first, the length of the diameter of the sphere is the same length as the length of one corner of the cube to the opposite diagonal corner of the cube. second, you can find this length by applying pythagoreans theorem (a2+b2=c2). third, since you know the height of the cube you need to find the length of the diagonal of one surface of the cube. you can do this by cutting one ofthe surfaces ofthe cubes into a triangle and using the pyth. theorem and solve for the diagonal. remember this number. now take this number and use the pyth. theorem again with the height of the cube and then ythis is the diameter of the sphere.
A sphere of radius r inside a cube touches each one of the six sides of the cube what is the volume of the cube in terms of r?
2r3, because if you have a radius touching all six sides, you could then double this to get the diameter of the sphere, which would be 2r, then this would be, being a cube, the length of every edge of the cube, which we cube or put to the 3rd power, to find volume.
What is the critical relationship between cell volume and surface area?
The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.
How big is 400 cubic centimetres?
~7.4cm sided cube OR ~9.1cm diameter sphere
How do you find volume of a first layer of a cube?
A cube does not have layers.
